Finite Group Databasebeta

← Group #264995

Character table — Group #264995

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222244444444444888888888888888888816161616161616161616161616163232
order12222244444488882222444888822444488888888888882222444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-111-1-11111111111111-1-1-111-1-1-111-1-1-1-1-1-1
χ4111111111111111111111111111-1-111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-1111111111-1-11111111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1
χ61111111111111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-111
χ71111111111111111-1-1-1-11111111-1-1-1-1-1-111111-1-1-1-11111-111-1-1-111-1-1-1-1-1-111
χ81111111111111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-1
χ9111111111111-1-1-1-11111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-11-1
χ10111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-111-1-11-1-111-1-111-11
χ11111111111111-1-1-1-11111111-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-11-1-111-111-1-1-1-111-11
χ12111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111-1-11-1
χ13111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111111-1-1-11
χ14111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-111111-1-1-1-1111-1
χ15111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-111111111-1-1-1-1111-1-1-1-1-111-1-1111-1
χ16111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-11111111111111-1-1-1-1-111-1-1-11
χ172222222-2-222222220000-2-2-2-2-222220022-2000000000000-20000-20000000000
χ182222222-2-222222220000-2-2-2-2-222-2-200-2-2-20000000000002000020000000000
χ192222222-2-2222-2-2-2-20000-2-2-222-2-22200-2-2200000000000020000-20000000000
χ202222222-2-2222-2-2-2-20000-2-2-222-2-2-2-200222000000000000-2000020000000000
χ21222222-222-2-2-2000022222-2-2000000-2-2000000000002i2i−2i−2i000000002i−2i000000
χ22222222-222-2-2-2000022222-2-2000000-2-200000000000−2i−2i2i2i00000000−2i2i000000
χ23222222-222-2-2-20000-2-2-2-22-2-200000022000000000002i2i−2i−2i00000000−2i2i000000
χ24222222-222-2-2-20000-2-2-2-22-2-20000002200000000000−2i−2i2i2i000000002i−2i000000
χ252222-2-2222-2-22222222-2-2-22-222-2-2002-200-2000022-2-200000000000000000000
χ262222-2-2222-2-222222-2-222-22-222-2-200-2200-20000-2-22200000000000000000000
χ272222-2-2222-2-22-2-2-2-222-2-2-22-2-2-222002-20020000-2-22200000000000000000000
χ282222-2-2222-2-22-2-2-2-2-2-222-22-2-2-22200-22002000022-2-200000000000000000000
χ292222-2-22-2-2-2-22222200002-22-2-2-2-2000000200000000000002-20002-200000000
χ302222-2-22-2-2-2-22222200002-22-2-2-2-200000020000000000000-22000-2200000000
χ312222-2-22-2-2-2-22-2-2-2-200002-222222000000-200000000000002-2000-2200000000
χ322222-2-22-2-2-2-22-2-2-2-200002-222222000000-20000000000000-220002-200000000
χ332222-2-2-22222-2000022-2-2-2-22000000-2200022-2-2000000000002-200000000000
χ342222-2-2-22222-2000022-2-2-2-22000000-22000-2-22200000000000-2200000000000
χ352222-2-2-22222-20000-2-222-2-220000002-200022-2-200000000000-2200000000000
χ362222-2-2-22222-20000-2-222-2-220000002-2000-2-222000000000002-200000000000
χ372-22-22-22002-2-22i2i−2i−2i0000000002i−2i2-2002i−2i02−22−20000i2−i2i2−i200000000002−2i2−i200
χ382-22-22-22002-2-22i2i−2i−2i0000000002i−2i2-2002i−2i0−22−220000−i2i2−i2i20000000000−22−i2i200
χ392-22-22-22002-2-22i2i−2i−2i0000000002i−2i-2200−2i2i02−22−20000i2−i2i2−i20000000000−22−i2i200
χ402-22-22-22002-2-22i2i−2i−2i0000000002i−2i-2200−2i2i0−22−220000−i2i2−i2i200000000002−2i2−i200
χ412-22-22-22002-2-2−2i−2i2i2i000000000−2i2i2-200−2i2i02−22−20000−i2i2−i2i200000000002−2−i2i200
χ422-22-22-22002-2-2−2i−2i2i2i000000000−2i2i2-200−2i2i0−22−220000i2−i2i2−i20000000000−22i2−i200
χ432-22-22-22002-2-2−2i−2i2i2i000000000−2i2i-22002i−2i02−22−20000−i2i2−i2i20000000000−22i2−i200
χ442-22-22-22002-2-2−2i−2i2i2i000000000−2i2i-22002i−2i0−22−220000i2−i2i2−i200000000002−2−i2i200
χ45444444-4-4-4-4-4-400000000-444000000000000000000000000000000000000000
χ464444-4-4-4-4-444-40000000044-4000000000000000000000000000000000000000
χ474-44-44-4-400-44400000000000000000000000000000022−22−22220000000000000000
χ484-44-44-4-400-444000000000000000000000000000000−222222−220000000000000000
χ494-44-4-44400-44-44i4i−4i−4i000000000−4i4i00000000000000000000000000000000000
χ504-44-4-44400-44-4−4i−4i4i4i0000000004i−4i00000000000000000000000000000000000
χ514-44-4-44-4004-44000000000000000000000022−22−2222000000000000000000000000
χ524-44-4-44-4004-440000000000000000000000−222222−22000000000000000000000000
χ534-4-440004-400022−2222−22004-400022−2200000000000000022−2200000000000000000000
χ544-4-440004-400022−2222−2200-4400022−22000000000000000−222200000000000000000000
χ554-4-440004-4000−2222−2222004-4000−2222000000000000000−222200000000000000000000
χ564-4-440004-4000−2222−222200-44000−222200000000000000022−2200000000000000000000
χ574-4-44000-4400022−2222−224-400000−2222000000000000022−220000000000000000000000
χ584-4-44000-4400022−2222−22-4400000−22220000000000000−22220000000000000000000000
χ594-4-44000-44000−2222−22224-40000022−220000000000000−22220000000000000000000000
χ604-4-44000-44000−2222−2222-440000022−22000000000000022−220000000000000000000000
χ6188-8-8000000004i2−4i2−4i24i20000000000000000000000000000000000000000000000
χ6288-8-800000000−4i24i24i2−4i20000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).